76224 has 28 divisors (see below), whose sum is σ = 202184. Its totient is φ = 25344.

The previous prime is 76213. The next prime is 76231. The reversal of 76224 is 42267.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 76224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 390.

2⁷⁶²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101092).

76224 is an abundant number, since it is smaller than the sum of its proper divisors (125960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76224 is a wasteful number, since it uses less digits than its factorization.

76224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 76224 is about 276.0869428278. The cubic root of 76224 is about 42.3998101332.

Adding to 76224 its sum of digits (21), we get a triangular number (76245 = T₃₉₀).

It can be divided in two parts, 7622 and 4, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 76224 in words is "seventy-six thousand, two hundred twenty-four".